Make an equation for f(x) and g(x) - f(x) has the y-intercept of 3 - g(x) has one reflection over the x -axis, is vertically stretched by a factor of 5 and translated up 3 units - f(x) and g(x) share a common characteristic: a y-intercept of 3

Q: Find f(x)=x-8/6x-1 and find the equation of the line tangent to the graph of f at x=2. and what is…

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Q: Find the x-coordinate for the point of intersection by using f (z) = 2z + 6 g(z) = -3z +1

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Q: A manufacturer wants to minimize the cost of producing a new item. This new item is similar to an…

A: We have to minimise the cost for hie much production of items.

Q: f(x) = −x2 + 6x − 12 y-intercept(x, y)=

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Q: The horizontal asymptote of x + 5 f (x) = x2 is the line with equation O a y = 1 b y = 0 C X = 1 d.…

A: Given a function f(x)=x+5x2 To find the horizontal asymptote of f(x)

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

A: if the curve is passing through the point (1,-1) then we have to find the curve if the slope of the…

Q: find the point at which the line g(x)=−1x+0g(x)=-1x+0 intersects the line k(x)=−4x+9

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Q: Find the point at which the line f(x) = - 2x +4 intersects the line g(a) = -a

A: Given, f(x)=-2x+4 and g(x)=-x

Q: • Find f" (3) for f (æ) = x³ – 2x4 + æ³ + 2x? – 7x + 3. showing the steps in your process. - -

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Q: Find the equation of the secant line on the curve f(x) = -x²+2 passing through the points xo = -1…

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Q: A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x…

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: Find the area of a triangle bounded by the y axis, the line f(x)=9−2/5x, and the line perpendicular…

A: fx=9-25x Comparing with fx=mx+c, we get m=slope=-25c=y-intercept=9 Therefore the slope of a line…

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Q: where y1 = e* is one of the functions in the fundamental solution set. - %3D xy" + (2-2x)y' +(x- 2)y…

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Q: 1) Find the equation of the curve whose slope at any point p(x,y) is m = (x * +16x + 4)²(x ³ + 4)…

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Q: The degree of f(x) is v and the leading coefficient is There are| distinct real zeros and relative…

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Q: The slope of the line tangent to the graph of f(x) = 15 – 3a2 at the point z = -8 %3D 48 96 O 12 O…

A: Solution is given below : Answer: 48

Q: Given the function P(x) = (x – 1) (x – 4) %3D | Its y-intercept is Its x-intercept(s) is/are

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Q: Use the intermediate value theorem to show that the equation x + 2x + 1 = 0 has a solution in the…

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Q: Consider f(x)=ax3+bx2+cx+d Under what conditions on a,b,c,and d does the graph of a cubic function…

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Q: What is the equation for g, which is f(x) = 2x2 + 3x - 1 reflected across the y-axis? A. g(x) = 2x2…

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Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

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A: The extremum value of a real-valued function is determined through differential calculus. It is one…

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A: Concept: Rxx, Ryy, Rxy, are the double partial derivative of x and y Maximum condition:…

Q: Suppose you know that f(8) = - 1, f'(8) = 10. Find the equation of the line tangent to the graph of…

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Q: Q1/a) Find the curve whose slope at the point (x,y) is 3x2 if the curve is also passes through the…

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Q: he population density of a city is given by P(x,y)= -20x²-20y +440x + 280y+200, where x and y are…

A: solution is given below

Q: A3) Find the equation of the line tangent to the graph of f(x) = 2x3 + 8x² – 3x – 6 at x = -2.

A: 1. find the y coordinate by putting the value of x in the function. 2. Find the first derivative of…

Q: Find the values (ranges) of c for which h(x) = x² - 4x + c has exactly: %3D (a) exactly one…

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Q: x²-4x -5 flx)= 9-メ The x intercept with negative valke positive value 2. with x intercept is The 'Y.…

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Q: Find the area of a triangle bounded by the y-axis, the line f (x) = 12 − 4x, and the line…

A: From the given information:F(x) = 12-4xSlope of the f(x) is m = - 4So, slope of perpendicular line…

Q: Given the function P(x) = (x – 3)´(x – 8) Its y-intercept is | (3,0)

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Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

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Q: C(x) = 600 + 7x + 0.0002x2.  Each racket can be sold at a price of p dollars, where p is related to…

A: Since it is given that each racket can be sold at a price of p dollars and we have x number of…

Q: Find the set of values of k for which the curve y = (k+ 1)x² – 3x+ (k + 1) lies below the x-axis.

A: We will solve the following

Q: A market analyst working for a small appliance manufacturer finds that if the firm produces and…

A: we are given with profit equation  Lets graph the given equation  the x intercepts are (-45.224,0)…

Q: The graph of f(x) = 2a² + 12z² – 72z + 14 has two horizontal tangents. One occurs at a negative…

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Q: The weekly revenue for a product is given by R(x) = 132x-0.0135x, and the weekly cost is C(x) =…

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Q: Given that the product of three linear factors of f(x) is (x- 5)(2x– 3)(x+2). Sketch the graph of…

A: Given that f(x) can be written as           f(x)=(x-5)(2x-3)(x+2)

Q: Find the point at which the line f(x)=−5x−3f(x)=-5x-3 intersects the line g(x)=−x+1g(x)=-x+1

A: The given functions are fx=-5x-3gx=-x+1

Q: the total daily profit of a certain food company for the sale of boxes of buko is given by the…

A: Given that the profit function is: Px=-0.001x3+0.1x2+3x-300 Then we get,…

Q: A cell phone factory has a cost of production  C(x) = 150x + 10,000  and a revenue function  R(x)…

A: Given  cost of production  c(x)= 150x+10,000 Revenue function  R(x) = 200x

Q: Find the point at which the line f(x) = - 3x +8 intersects the line g(x) = -5z + 16 %3D %3D

A: Given f(x)=-3x+8 g(x)=-5x+16

Q: The degree of f(x) is v and the leading coefficient is There are real zeros and relative extreme…

A: To Determine :-  Degree of fx Leading coefficient  Number of real zeroes Number of relative extreme…

Q: An electronics manufacturer determines that the profit P(in dollars) obtained  by producing and…

A: Consider the given function, Px,y=8x+10y-11000x2+xy+y2-10,000 Noe find the critical points by…

Q: 3 The graph of f(x) = 2x° + 15x² – 84x + 24 has two horizontal tangents. One occurs at a negative…

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Q: The degree of f(x) is v and the leading coefficient is There are distinct real zeros and relative…

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